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Finding the Third Proportional to 127,362.85 and 269,885.20

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Solution

The third proportional to 127,362.85 and 269,885.20 is: 571,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,362.85 : 269,885.20 = 269,885.20 : x
  2. Step 2: Convert to fraction form
    127,362.85/269,885.20 = 269,885.20/x
  3. Step 3: Cross multiply
    127,362.85x = 269,885.20 × 269,885.20
  4. Step 4: Simplify right side
    127,362.85x = 72,838,019,703.10
  5. Step 5: Solve for x
    x = 72,838,019,703.10/127,362.85
  6. Step 6: Final answer
    x = 571,893.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.